The number of senior citizens (65 and older) in the US in millions n years after 1990 can be estimated using the formula
The percentage of senior citizens living below the poverty level n years after 1990 can be estimated using the formula
a) How many senior citizens were there in 2000?
b) In what year will the percentage of seniors living below the poverty level reach 7%
c) What is the first year in which we can expect both the number of seniors to be greater than 40 million and fewer than 7% living below the poverty level?
Please show work
a) n = 2000 - 1990 = 10
so 10 years after 1990 in 2000, the number of senior citizens is
s = 0.38 * 10 + 31.2 = 35 millions.
b) p = 7
-0.25n + 12.2 = ...
The solution shows how to set up and solve the compound inequality for a word problem regarding the seniors and the poverty.